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Hypotenuse of a Right Triangle | Steps & Examples Video - Free Printable

Educational worksheet: Hypotenuse of a Right Triangle | Steps & Examples Video. Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Hypotenuse of a Right Triangle | Steps & Examples Video

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- The problem involves a right triangle formed by a tree, the ground, and a ladder.
- The tree's height is 30 ft (one leg of the triangle).
- The distance from the base of the tree to the bottom of the ladder is 10 ft (the other leg).
- The ladder is the hypotenuse, which we need to find.
- Use the Pythagorean theorem: $a^2 + b^2 = c^2$.
- Substitute the values: $30^2 + 10^2 = c^2$.
- Calculate: $900 + 100 = 1000 = c^2$.
- Take the square root: $c = \sqrt{1000} = 10\sqrt{10}$ ft.
- The length of the ladder is approximately 31.62 ft.

Parent Tip: Review the logic above to help your child master the concept of real life pythagorean theorem examples.

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(view all real life pythagorean theorem examples)